Finding the Third Proportional to 85,576 and 186,196

Step by Step Solution

1. Step 1: Write the proportion equation
   85,576 : 186,196 = 186,196 : x
2. Step 2: Convert to fraction form
   85,576/186,196 = 186,196/x
3. Step 3: Cross multiply
   85,576x = 186,196 × 186,196
4. Step 4: Simplify right side
   85,576x = 34,668,950,416
5. Step 5: Solve for x
   x = 34,668,950,416/85,576
6. Step 6: Final answer
   x = 405,124.69